Mathematics
- Algebra I →Suggested: Grades 9–10
- Geometry →Suggested: Grades 9–11
- Algebra II →Suggested: Grades 10–12
- Precalculus and Trigonometry →Suggested: Grades 11–12
- Statistics and Probability →Suggested: Grades 10–12

High School Curriculum Explorer · Grades 9–12
See what a course builds on, follow a suggested unit path and practice a useful skill. For students, families, homeschoolers, tutors and teachers.
Suggested pathways · Selected standards contributions · No calculus
A starter map, with no accreditation or graduation credit.
Connect the ideas.
Explain the reasoning.
Subject → Course → Unit → Lesson
Each course has six lessons in three suggested units. Grade ranges guide placement; they are not universal requirements.
Focus on one useful skill
Algebra I
Suggested grades 9–10 · Unit 1: Expressions and equivalent equations
Connect terms, coefficients and factors to a fictional event budget.
▷ 2 teacher video choices: Interpret a Cost ExpressionGoal: Interpret each part of an expression and justify an equivalent form.
Before this: Distributive property Signed arithmetic
Try together: Interpret 8b + 24 for $8 bundles and one fixed charge. Factor it and explain what the factorization reveals.
Algebra I
Suggested grades 9–10 · Unit 1: Expressions and equivalent equations
Preserve equality while solving both numerical and letter-coefficient equations.
▷ 2 teacher video choices: Linear Equations and a ParameterGoal: Solve and verify a linear equation and state an exception for a parameter formula.
Before this: Distributive property Inverse operations
Try together: Solve 5(x+2)=3x+18, then solve mx=12 and discuss m=0.
Algebra I
Suggested grades 9–10 · Unit 2: Linear models and simultaneous constraints
Use a two-equation system to distinguish total items from total revenue.
▷ 3 teacher video choices: Two Constraints at a Market StallGoal: Solve a contextual linear system and verify both constraints.
Before this: Linear equations Substitution or elimination
Try together: Solve x+y=11 and 2x+5y=37 by eliminating x. Explain the ordered pair.
Algebra I
Suggested grades 9–10 · Unit 2: Linear models and simultaneous constraints
Interpret a rate over an interval and distinguish it from a starting charge.
▷ 2 teacher video choices: Average Change in a Delivery ModelGoal: Calculate average change from a rule and table and state the units and assumptions.
Before this: Function notation Slope between points
Try together: For F(t)=8+2t, calculate average change over [1,5] and interpret the 8 separately.
Algebra I
Suggested grades 9–10 · Unit 3: Quadratics and discrete patterns
Use factoring and a contextual domain to choose a meaningful quadratic solution.
▷ 2 teacher video choices: Quadratic Roots and a Frame DesignGoal: Solve a factorable quadratic and reject a root that violates the stated measurement domain.
Before this: Factoring trinomials Zero-product property
Try together: Solve x²−x−12=0 and check both roots.
Algebra I
Suggested grades 9–10 · Unit 3: Quadratics and discrete patterns
Translate recursive patterns into explicit formulas with a stated first index.
▷ 2 teacher video choices: Arithmetic and Geometric SequencesGoal: Write recursive and explicit rules for two sequences and evaluate a later term.
Before this: Function notation Integer exponents
Try together: Write both rule forms for 10,7,4,1 and 5,15,45,135, with first index 1.
Geometry
Suggested grades 9–11 · Unit 1: Congruence through motion and reasoning
Specify a transformation sequence instead of judging figures by appearance.
▷ 2 teacher video choices: Congruence as a Sequence of Rigid MotionsGoal: Map every vertex of one triangle to another and justify preservation of lengths and angles.
Before this: Coordinate plotting Reflection and translation
Try together: Reflect P(2,−1), Q(5,−1), R(2,1) across the x-axis, then translate by (−3,+2).
Geometry
Suggested grades 9–11 · Unit 1: Congruence through motion and reasoning
Connect a triangle criterion to a rigid-motion argument.
▷ 2 teacher video choices: Why SAS Determines a TriangleGoal: Explain why two sides and their included angle determine a congruent triangle.
Before this: Rigid motions Included angles
Try together: Apply the same argument when AB=7, AC=4 and angle A=40°, with equal corresponding measurements in DEF.
Geometry
Suggested grades 9–11 · Unit 2: Similarity and right-triangle measures
State the similarity assumptions before using a proportion.
▷ 2 teacher video choices: Similar Triangles and a Shadow EstimateGoal: Justify a similar-triangle model and calculate a height with labeled corresponding sides.
Before this: Ratios Triangle angle sums
Try together: Use a 2 m reference with a 3 m shadow to estimate the height for a 12 m shadow.
Geometry
Suggested grades 9–11 · Unit 2: Similarity and right-triangle measures
Choose a ratio from a labeled reference angle and check the result.
▷ 2 teacher video choices: Right-Triangle Trigonometry in a DiagramGoal: Calculate an unknown side and angle in right-triangle models.
Before this: Pythagorean theorem Ratios Degree-mode calculator
Try together: For an angle of 30° and hypotenuse 10 cm, find opposite and adjacent legs.
Geometry
Suggested grades 9–11 · Unit 3: Circles and three-dimensional measurement
Use similarity to explain why arc length divided by radius depends on the angle.
▷ 3 teacher video choices: Arc Length, Radians and Sector AreaGoal: Derive arc and sector formulas and apply them with consistent units.
Before this: Circle circumference and area Similarity
Try together: Find arc length and sector area for r=4 m and θ=π/2.
Geometry
Suggested grades 9–11 · Unit 3: Circles and three-dimensional measurement
Compare equal dimensions without confusing radius, diameter and height.
▷ 2 teacher video choices: Volume Comparisons for Solid DesignsGoal: Calculate and compare cylinder, cone, pyramid and sphere volumes.
Before this: Area formulas Algebraic substitution
Try together: Find a cone’s height when its radius is 2 cm and volume is 20π cm³.
Algebra II
Suggested grades 10–12 · Unit 1: Polynomial and rational structure
Use distribution and signs to combine polynomial expressions.
▷ 2 teacher video choices: Polynomial Operations and an Area ModelGoal: Add, subtract and multiply polynomials and explain why the results remain polynomials.
Before this: Distributive property Like terms
Try together: Expand (x−4)(x+2), then subtract (x²−2x−8) from your result.
Algebra II
Suggested grades 10–12 · Unit 1: Polynomial and rational structure
Rewrite a fraction of polynomials while preserving its original excluded inputs.
▷ 2 teacher video choices: Rational Expressions as Quotient and RemainderGoal: Express a rational function as a polynomial plus a remainder fraction and state its domain.
Before this: Polynomial multiplication Factoring Division
Try together: Rewrite (x²+4x+7)/(x+2) and check by recombining.
Algebra II
Suggested grades 10–12 · Unit 2: Complex solutions and exponential models
Extend square-root reasoning beyond real-number solutions.
▷ 2 teacher video choices: Quadratics with Complex SolutionsGoal: Solve real-coefficient quadratic equations with complex roots and verify a result.
Before this: Completing the square Square roots
Try together: Solve (x+1)²=−16 and verify one candidate.
Algebra II
Suggested grades 10–12 · Unit 2: Complex solutions and exponential models
Solve for an exponent while stating the model’s assumptions.
▷ 3 teacher video choices: Exponential Models and a Logarithmic SolutionGoal: Express a model’s solution using a logarithm and evaluate it appropriately.
Before this: Exponent laws Function notation Calculator logarithms
Try together: Solve 10·2^(t/2)=80, then interpret t in the model.
Algebra II
Suggested grades 10–12 · Unit 3: Combining and reversing functions
Track an intermediate output through two functions.
▷ 2 teacher video choices: Composition and the Order of OperationsGoal: Compute and interpret two compositions and identify a relevant input restriction.
Before this: Function notation Substitution
Try together: For p(x)=2x−1 and q(x)=x², compute p(q(3)) and q(p(3)).
Algebra II
Suggested grades 10–12 · Unit 3: Combining and reversing functions
Solve for the original input and distinguish inverse from reciprocal.
▷ 2 teacher video choices: Inverse Functions as Reversing a RuleGoal: Find a simple inverse rule and state its domain and interpretation.
Before this: Solving equations Function notation
Try together: Find the inverse of k(x)=5x+2 and use it to recover the input producing 27.
Precalculus and Trigonometry
Suggested grades 11–12 · Unit 1: Functions, transformations and rational graphs
Separate vertical changes from changes inside the input.
▷ 2 teacher video choices: Transformations of a FunctionGoal: Predict and verify transformed points and key graph features.
Before this: Function notation Quadratic and absolute-value graphs
Try together: For f(x)=|x|, map three points under h(x)=f(x+2)−4 and sketch the result.
Precalculus and Trigonometry
Suggested grades 11–12 · Unit 1: Functions, transformations and rational graphs
Use factors and a data table to distinguish roots, exclusions and graph behavior.
▷ 2 teacher video choices: Polynomial Zeros and Rational Graph BoundariesGoal: Sketch a polynomial and a rational function with correctly labeled zeros and excluded inputs.
Before this: Factoring Polynomial division Coordinate graphing
Try together: Sketch y=(x−1)(x+4) using zeros, sign samples and the positive leading term. Identify the hole in(x²−9)/(x−3).
Precalculus and Trigonometry
Suggested grades 11–12 · Unit 2: Exponential inverses and the unit circle
Translate exponential and logarithmic statements and solve a model on its real domain.
▷ 3 teacher video choices: Logarithms as Exponential InversesGoal: Solve exponential equations using the inverse relationship and explain input restrictions.
Before this: Exponent laws Algebra II logarithmic solutions
Try together: Solve log₅(2x+1)=2 and state the real input condition.
Precalculus and Trigonometry
Suggested grades 11–12 · Unit 2: Exponential inverses and the unit circle
Interpret sine and cosine as coordinates for positive and negative radian angles.
▷ 3 teacher video choices: The Unit Circle Beyond One TurnGoal: Locate coterminal angles and determine coordinate-based sine and cosine values.
Before this: Coordinate plane Radian measure Circle radius
Try together: Find coordinates, sine and cosine for−π,7π/2 and 4π.
Precalculus and Trigonometry
Suggested grades 11–12 · Unit 3: Periodic models and finite sequences
Choose amplitude, midline, period and phase from a fictional rotating wheel.
▷ 2 teacher video choices: A Sinusoidal Wheel-Height ModelGoal: Construct and check a periodic model at key quarter-period times.
Before this: Unit-circle sine and cosine Function transformations
Try together: Build a model with minimum 3, maximum 15, period 24 and a start at the highest point.
Precalculus and Trigonometry
Suggested grades 11–12 · Unit 3: Periodic models and finite sequences
Derive a finite-sum formula by subtracting shifted copies rather than adding every term.
▷ 2 teacher video choices: Finite Geometric Sums in a DesignGoal: Derive and apply a finite geometric-series formula with a clearly counted number of terms.
Before this: Geometric sequences Exponent rules
Try together: Find 1+1/2+1/4+1/8+1/16, showing the shifted-sum method.
Statistics and Probability
Suggested grades 10–12 · Unit 1: Distributions and paired-data models
Compare summaries while explaining what an extreme value changes and what it hides.
▷ 2 teacher video choices: Choose Center and Spread for Two DistributionsGoal: Calculate means, medians and interquartile ranges and justify a comparison in context.
Before this: Mean and median Ordered data
Try together: Compare means and medians for 3,4,5,6,7 versus 3,4,5,6,22.
Statistics and Probability
Suggested grades 10–12 · Unit 1: Distributions and paired-data models
Check a proposed line against observations instead of equating fit with truth.
▷ 2 teacher video choices: A Paired-Data Model and Its ResidualsGoal: Calculate residuals, assess a simple model and interpret a contextual prediction.
Before this: Linear equations Scatter plots
Try together: For points(1,4),(2,5),(3,8), test y=2x+2 and list residuals.
Statistics and Probability
Suggested grades 10–12 · Unit 2: Study design and conditional evidence
Separate random sampling from random assignment before drawing a conclusion.
▷ 2 teacher video choices: What Can a Study Design Support?Goal: Classify three study designs and explain the role of randomization in each.
Before this: Sample and population Association and causation
Try together: Design a paper-only experiment comparing two diagram layouts. Specify random assignment, the measured outcome and one condition to hold consistent.
Statistics and Probability
Suggested grades 10–12 · Unit 2: Study design and conditional evidence
Change the reference group deliberately and compare reversed conditional statements.
▷ 2 teacher video choices: Conditional Probability in a Library TableGoal: Complete a two-way table and calculate joint, marginal and conditional proportions.
Before this: Fractions and percents Two-way tables
Try together: Find borrowing probability among nonmembers and nonborrowing probability among members.
Statistics and Probability
Suggested grades 10–12 · Unit 3: Independence and expected value
Use a complete sample space to distinguish independent from mutually exclusive events.
▷ 2 teacher video choices: Independence and an Inclusive “Or”Goal: Test independence with a product and calculate an inclusive union probability.
Before this: Simple probability Fractions
Try together: On a fair die, test independence of “even” and “greater than 4.” Then calculate their union.
Statistics and Probability
Suggested grades 10–12 · Unit 3: Independence and expected value
Interpret a weighted probability mean without treating it as a guaranteed daily count.
▷ 2 teacher video choices: Expected Value for Resource DemandGoal: Calculate an expected value and explain its long-run meaning and planning limitation.
Before this: Probability distributions Weighted arithmetic
Try together: Calculate expected demand for values 0,1,3 with probabilities 0.25,0.5,0.25.
English 9
Suggested grade 9 · Unit 1: Reading Closely
A short scene supports careful inference without supplying every answer.
▷ 2 teacher video choices: Separate Evidence from InferenceGoal: Support one inference about a character with two precise details and identify one unresolved question.
Before this: Distinguish a statement in a text from an interpretation.
Try together: Together explain why folding the sketch alone is weaker evidence of fear than a pattern of delay plus approach.
English 9
Suggested grade 9 · Unit 1: Reading Closely
Follow the development of a theme rather than attaching a moral to a topic.
▷ 2 teacher video choices: Trace a Theme through a ChoiceGoal: Explain how three story moments develop a thematic statement and write an objective summary.
Before this: Support an inference with details; distinguish a topic from a claim.
Try together: Compare “Change” with “A successful method may need revision when conditions change.” Explain which is a theme and check it against the ending.
English 9
Suggested grade 9 · Unit 2: Arguments and Craft
Examine whether a fictional proposal’s evidence matches its claim.
▷ 2 teacher video choices: Evaluate a Public ClaimGoal: Identify a claim, evaluate two evidence limitations and write a defensible narrower conclusion.
Before this: Identify a claim, reason and example.
Try together: Together explain why adding fifty more opinions about liking the room would not by itself measure achievement.
English 9
Suggested grade 9 · Unit 2: Arguments and Craft
Use dialogue and precise details to expand a brief decision scene.
▷ 2 teacher video choices: Slow Down a Narrative Turning PointGoal: Revise a summary into a coherent scene using dialogue, sensory detail and a moment of reflection.
Before this: Write a sequence of events with a clear point of view.
Try together: Compare “She was nervous” with an action showing hesitation. Discuss what the action adds and what it cannot reveal alone.
English 9
Suggested grade 9 · Unit 3: Research and Communication
Revise a clear list without accidentally changing its meaning.
▷ 2 teacher video choices: Use Parallel Structure for ClarityGoal: Revise three nonparallel constructions and explain how grammatical choices affect meaning or emphasis.
Before this: Recognize verbs and lists in sentences.
Try together: Revise “The report should be accurate, clear and persuade the reader.” Discuss whether the intended list describes qualities or actions.
English 9
Suggested grade 9 · Unit 3: Research and Communication
Combine two original records and a small table into a cautious oral briefing.
▷ 2 teacher video choices: Build a Source-Based Mini-BriefingGoal: Present a clear recommendation using two sources, a counterpoint and an accurate visual aid.
Before this: Distinguish a source’s finding from a broader conclusion; organize a paragraph.
Try together: Explain together why the phrase “24 students were dissatisfied” cannot be derived from the log.
English 10
Suggested grade 10 · Unit 1: Literary Decisions
Trace a character who wants two things that cannot both be obtained easily.
▷ 2 teacher video choices: Analyze Conflicting MotivationsGoal: Analyze how a character’s conflicting motives affect an interaction and advance the plot.
Before this: Support an inference with more than one detail.
Try together: Compare “Rafi never cares about winning” with a qualified account of competing motives. Which details resist the absolute claim?
English 10
Suggested grade 10 · Unit 1: Literary Decisions
Analyze why a writer withholds information and inserts an earlier scene.
▷ 2 teacher video choices: Examine an Interrupted TimelineGoal: Compare chronological and interrupted versions of a scene and explain two effects of their structure.
Before this: Distinguish chronological order from the order a narrator reveals events.
Try together: Discuss whether the flashback confirms guilt or merely directs suspicion. Cite the detail that limits certainty.
English 10
Suggested grade 10 · Unit 2: Rhetoric and Research
Explain how a fictional speech frames a choice for its audience.
▷ 2 teacher video choices: Read Rhetoric Beyond the SloganGoal: Analyze two rhetorical choices and evaluate how each advances the speaker’s purpose without assuming it proves the claim.
Before this: Identify an argument’s purpose and distinguish relevant evidence from a slogan.
Try together: Rewrite “locked drawer” as “an existing review queue.” Discuss how the change affects tone and urgency without changing the basic fact of delay.
English 10
Suggested grade 10 · Unit 2: Rhetoric and Research
Connect three original records that answer different parts of one question.
▷ 2 teacher video choices: Synthesize Sources without Flattening ThemGoal: Produce a source-attributed synthesis, assess each source’s usefulness and identify a research gap.
Before this: Take accurate source notes; distinguish counts from interpretations.
Try together: Compare the phrases “Thirty students failed to repair an item” and “The log recorded thirty visits.” Explain why only one preserves the source’s measure.
English 10
Suggested grade 10 · Unit 3: Composing and Discussing
Write an argument that answers an alternative fairly rather than weakening it.
▷ 2 teacher video choices: Develop a Fair CounterclaimGoal: Develop a claim and counterclaim with evidence and identify a limitation of each.
Before this: State a precise claim and support it with evidence.
Try together: Together revise “Only lazy students want shorter sessions” into a fair access-based counterclaim.
English 10
Suggested grade 10 · Unit 3: Composing and Discussing
Compare priorities in a decision while preserving disagreement honestly.
▷ 2 teacher video choices: Use Discussion to Qualify a ViewGoal: Summarize agreement and disagreement after a prepared conversation and justify a qualified conclusion.
Before this: Prepare evidence notes and summarize another person’s position accurately.
Try together: Practice paraphrasing “I need enough uninterrupted time” without turning it into “You do not care about other groups.”
English 11
Suggested grade 11 · Unit 1: Ambiguity and Theme
Explain what a narrator’s account establishes and what it leaves unresolved.
▷ 2 teacher video choices: Interpret an Uncertain NarratorGoal: Build a qualified interpretation using three details and identify two matters the text does not settle.
Before this: Support literary claims with precise details and consider alternatives.
Try together: Compare “The narrator is definitely guilty” with “The account gives reasons to question the waiting claim.” Identify which better matches the evidence.
English 11
Suggested grade 11 · Unit 1: Ambiguity and Theme
Trace how loyalty and accountability complicate each other in a short original narrative.
▷ 2 teacher video choices: Connect Two Developing ThemesGoal: Analyze two themes across three moments and explain their interaction without reducing one to the other.
Before this: Trace a theme through changes in action; write an objective summary.
Try together: Discuss why “Loyalty is bad; truth is good” loses the ending’s complexity.
English 11
Suggested grade 11 · Unit 2: Rhetoric and Synthesis
Analyze how a speaker redirects a familiar objection toward a qualified proposal.
▷ 2 teacher video choices: Evaluate the Power of a Rhetorical TurnGoal: Explain how structure, contrast and concession advance a purpose and evaluate their persuasive effect.
Before this: Analyze metaphor, repetition and audience purpose separately from evidentiary proof.
Try together: Remove the concession sentence and compare the audience relationship. Explain why a reasonable reader might still prefer the shorter version.
English 11
Suggested grade 11 · Unit 2: Rhetoric and Synthesis
Build a decision memo from records that cannot be merged uncritically.
▷ 2 teacher video choices: Integrate a Table and Two AccountsGoal: Integrate quantitative and verbal sources, evaluate a discrepancy and recommend a proportionate next step.
Before this: Read a table with units; evaluate source scope and attribution.
Try together: Discuss why 12/20=60% is an accurate calculation but “60% of all visitors want evenings” is not established.
English 11
Suggested grade 11 · Unit 3: Advanced Composition
Alternate two viewpoints while preserving their different knowledge.
▷ 2 teacher video choices: Braid Two Narrative PerspectivesGoal: Write a coherent short scene with two narrative lines, a meaningful transition and a final reflection.
Before this: Sustain a limited point of view; use dialogue and transitions intentionally.
Try together: Together identify a sentence that would violate Leo’s limited knowledge before 3:15: “He knew Inez’s new map was under the folder.” Explain the problem.
English 11
Suggested grade 11 · Unit 3: Advanced Composition
Compare sentence forms as meaning choices rather than decoration.
▷ 2 teacher video choices: Vary Syntax to Control EmphasisGoal: Revise a passage into two syntactic versions and explain how clause placement changes emphasis.
Before this: Recognize independent and dependent clauses; preserve meaning during revision.
Try together: Compare although with because in the model. Explain why replacing one with the other changes the claimed relationship.
English 12
Suggested grade 12 · Unit 1: Interpretation and Structure
Analyze an understated response using context rather than a tone label alone.
▷ 2 teacher video choices: Read Irony without Assuming a ToneGoal: Distinguish literal and implied meaning and support an interpretation with three contextual details.
Before this: Use contextual evidence to qualify an interpretation.
Try together: Discuss whether the line would carry the same irony if the entrance worked and the explanation were one useful sentence.
English 12
Suggested grade 12 · Unit 1: Interpretation and Structure
Compare how two endings change the meaning of the same preceding scene.
▷ 2 teacher video choices: Evaluate Two EndingsGoal: Evaluate two structural choices using earlier details and explain a tradeoff in each ending.
Before this: Analyze structural choices and distinguish an effect from personal preference.
Try together: Explain why B is not simply “the same ending with more detail.” Identify the new action and its consequence for characterization.
English 12
Suggested grade 12 · Unit 2: Inquiry and Synthesis
Follow how a writer narrows and complicates the word access.
▷ 2 teacher video choices: Track a Key Term as an Argument DevelopsGoal: Explain three stages in a key term’s meaning and determine whether the shifts clarify or obscure the argument.
Before this: Recognize a claim’s scope and analyze how a text develops an idea.
Try together: Discuss whether using the final definition to claim everyone felt welcome would exceed the writer’s scope.
English 12
Suggested grade 12 · Unit 2: Inquiry and Synthesis
Refine an inquiry in response to a small original source packet.
▷ 2 teacher video choices: Design a Focused Research InquiryGoal: Develop and revise a focused research question, connect three source types and identify two warranted next inquiries.
Before this: Evaluate source relevance, paraphrase accurately and distinguish a broad topic from a question.
Try together: Compare “Did the newsletter help everyone?” with a question specifying which issues, whose access and what evidence would count.
English 12
Suggested grade 12 · Unit 3: Argument and Deliberation
Develop an argument for an audience whose priorities differ from the writer’s.
▷ 2 teacher video choices: Anticipate an Audience’s Strongest ConcernGoal: Write a precise recommendation that fairly develops a counterclaim, anticipates an audience concern and acknowledges limits.
Before this: Develop a fair counterclaim with accurate evidence and limitations.
Try together: Together identify the unsupported premise in “Four more weeks will certainly remove all errors.” Suggest a fairer counterclaim.
English 12
Suggested grade 12 · Unit 3: Argument and Deliberation
Use discussion to clarify a complex decision rather than force premature consensus.
▷ 2 teacher video choices: Synthesize a Deliberation and Its Unanswered QuestionsGoal: Synthesize competing claims and evidence, resolve one apparent contradiction and identify two necessary research questions.
Before this: Prepare evidence, represent opposing views accurately and distinguish fact from value priorities.
Try together: Practice a question that connects two speakers’ ideas: “If both schedules give twelve hours, which task need makes the longer block important?” Explain why it advances the discussion.
Biology
Suggested grades 9–10 · Unit 1: Information and Living Systems
Explain a limited gene–protein relationship using a model and a precise evidence statement.
▷ 2 teacher video choices: From DNA Instructions to Cell FunctionGoal: Construct a four-stage explanation linking a gene, protein production, protein function and a cell outcome.
Before this: Know that cells contain DNA and proteins.
Try together: Together revise “DNA becomes a nutrient.” Name the different roles of information, a protein product and transported matter.
Biology
Suggested grades 9–10 · Unit 1: Information and Living Systems
Connect cells, tissues, organs and interacting body systems without reducing the body to one isolated part.
▷ 2 teacher video choices: Model Oxygen Delivery Across SystemsGoal: Produce a hierarchical model and explain two interactions needed for oxygen delivery.
Before this: Recognize cells, tissues and organs.
Try together: Together locate an interaction between two systems and explain why a well-functioning heart alone cannot replace a lung exchange surface.
Biology
Suggested grades 9–10 · Unit 2: Matter and Energy in Organisms
Represent photosynthesis inputs, outputs and energy transformations using an atom-accounting model.
▷ 2 teacher video choices: Where Does Plant Carbon Come From?Goal: Use a labeled model to track carbon atoms and distinguish light energy from matter inputs.
Before this: Count atoms in simple formulas.
Try together: Together identify the error in a diagram drawing light dots turning into carbon dots. Replace it with an energy-transformation arrow.
Biology
Suggested grades 9–10 · Unit 2: Matter and Energy in Organisms
Explain cellular respiration without describing energy as an atom or saying bond breaking alone releases it.
▷ 2 teacher video choices: Food, Oxygen and Energy TransferGoal: Use a net model to distinguish matter rearrangement, usable energy transfer and thermal transfer.
Before this: Recognize photosynthesis inputs and outputs.
Try together: Together correct “Plants photosynthesize, so they never respire.” Refer to the text and distinguish the two processes.
Biology
Suggested grades 9–10 · Unit 3: Populations and Biological Evidence
Use proportional data while keeping energy conservation distinct from biomass transfer.
▷ 2 teacher video choices: Build an Ecosystem Energy BudgetGoal: Calculate two transfer fractions and account for energy not stored as new biomass at the next level.
Before this: Use percentages and define a system boundary.
Try together: Together identify the 17,600 kJ difference between producer and primary-consumer production and explain why it cannot all be labeled “heat” without more evidence.
Biology
Suggested grades 9–10 · Unit 3: Populations and Biological Evidence
Connect inherited variation, resource limits and reproductive success in an original model.
▷ 2 teacher video choices: Explain a Population Shift Without IntentGoal: Construct a natural-selection explanation using four required factors and distinguish population change from individual intention.
Before this: Know inheritance and calculate a proportion.
Try together: Together revise “The beetles became dark because they wanted to survive” using variation already present before predation.
Chemistry
Suggested grades 10–11 · Unit 1: Particles and Properties
Use outer-electron patterns as a model, not a memorized list of isolated element facts.
▷ 2 teacher video choices: Predict From a Main-Group PatternGoal: Predict likely ion charges for selected main-group atoms and justify a comparison using the supplied model.
Before this: Know proton, electron and net electric charge.
Try together: Together use the given pattern to explain why Na+ and Cl− have opposite charges despite both being described as reaching a filled outer shell in the simplified model.
Chemistry
Suggested grades 10–11 · Unit 1: Particles and Properties
Evaluate evidence about particle interactions without treating one property as a unique identification test.
▷ 2 teacher video choices: Infer Interactions From Property DataGoal: Use two supplied properties to compare possible interaction models and identify a needed measurement.
Before this: Distinguish melting from dissolving.
Try together: Together mark which statements in the report are observations and which are inferences. Ask whether the same-pressure condition matters.
Chemistry
Suggested grades 10–11 · Unit 2: Reactions and Energy
Use coefficients and proportional amounts in an idealized reaction model.
▷ 2 teacher video choices: Scale a Reaction Without Creating AtomsGoal: Calculate a product amount from a limiting supplied reactant and explain the conserved atom counts.
Before this: Read formulas and multiply ratios.
Try together: Together find the product when 3 mol H2 and 3 mol O2 are supplied. Identify the limiting reactant before subtracting leftovers.
Chemistry
Suggested grades 10–11 · Unit 2: Reactions and Energy
Calculate a simplified energy change and critique a common explanation.
▷ 2 teacher video choices: Why Breaking Bonds Is Not the Whole Energy StoryGoal: Use supplied bond-energy values to calculate net change and distinguish bond breaking from bond formation.
Before this: Use signed numbers and recognize molecular bonds.
Try together: Together calculate a second model requiring 700 kJ to break bonds and releasing 550 kJ on formation; describe the sign in words.
Chemistry
Suggested grades 10–11 · Unit 3: Rates and Dynamic Equilibrium
Interpret controlled concentration data and separate faster reaction from greater final yield.
▷ 2 teacher video choices: Explain a Rate Change With CollisionsGoal: Calculate two average rates and explain a collision-model hypothesis with a limitation.
Before this: Read concentration and elapsed-time data.
Try together: Together explain why “B ends with 1.75 times as much product” is not established by these first-20-second observations.
Chemistry
Suggested grades 10–11 · Unit 3: Rates and Dynamic Equilibrium
Distinguish equilibrium position from reaction speed using a reversible-system model.
▷ 2 teacher video choices: More Product Does Not Mean the Reaction StoppedGoal: Recommend and justify one system change that increases product while explaining dynamic equilibrium.
Before this: Read a reversible equation and distinguish rate from amount.
Try together: Together critique “Equilibrium requires one-third each A, B and C.” Use the distinction between equal rates and equal quantities.
Physics — Algebra and Trigonometry
Suggested grades 11–12 · Unit 1: Motion and Momentum
Analyze supplied motion data and resolve a force into horizontal and vertical components.
▷ 2 teacher video choices: Connect Net Force With a Velocity ChangeGoal: Calculate acceleration from a finite velocity change and test consistency with a net-force model.
Before this: Rearrange linear equations and use cosine of an angle.
Try together: Together calculate a cart’s velocity change over 3 s if mass is 2 kg and net horizontal force is 4 N, starting at rest.
Physics — Algebra and Trigonometry
Suggested grades 11–12 · Unit 1: Motion and Momentum
Calculate a one-dimensional collision and test the boundary required for conservation.
▷ 2 teacher video choices: Use Signs in a Momentum AccountGoal: Predict a combined final velocity and explain the isolated-system assumption.
Before this: Use signed numbers and solve a linear equation.
Try together: Together model two 1 kg carts, one at 4 m/s east and one initially at rest, that stick. Find the final velocity.
Physics — Algebra and Trigonometry
Suggested grades 11–12 · Unit 2: Energy and Waves
Construct a paper calculation model that includes transfers outside the chosen mechanical-energy account.
▷ 2 teacher video choices: Account for Energy With a Repeatable AlgorithmGoal: Calculate an energy budget and write a repeatable sequence for predicting kinetic energy and speed.
Before this: Use squares, square roots and gravitational energy mgh.
Try together: Together run the algorithm for the same object and height with 80 J transferred from the mechanical account.
Physics — Algebra and Trigonometry
Suggested grades 11–12 · Unit 2: Energy and Waves
Use wave relationships while avoiding the claim that a source’s frequency must change whenever the medium changes.
▷ 2 teacher video choices: Read Frequency, Wavelength and Speed TogetherGoal: Calculate wavelength and predict how one changed condition affects a wave model.
Before this: Rearrange v=fλ and read units.
Try together: Together calculate the frequency of a model wave with speed 12 m/s and wavelength 0.5 m.
Physics — Algebra and Trigonometry
Suggested grades 11–12 · Unit 3: Fields and Collision Design
Use a relative inverse-square model without building or handling electrical devices.
▷ 2 teacher video choices: Predict an Electric-Force RatioGoal: Calculate three force ratios and explain both magnitude and direction under a point-charge model.
Before this: Use squares, ratios and signs.
Try together: Together find the ratio when both charge magnitudes double at the original distance.
Physics — Algebra and Trigonometry
Suggested grades 11–12 · Unit 3: Fields and Collision Design
Evaluate fictional cargo-protection data with impulse reasoning and design constraints.
▷ 2 teacher video choices: Reduce Force by Changing Stopping TimeGoal: Recommend and refine a model packaging design using stopping time, average force and space constraints.
Before this: Understand momentum and divide by a time interval.
Try together: Together explain why a design that rebounds could have a different momentum change even with the same incoming speed.
Earth and Environmental Science
Suggested grades 9–12 · Unit 1: Earth Evidence and Energy
Evaluate an idealized age transect as evidence for a plate-motion explanation.
▷ 2 teacher video choices: Read a Seafloor Age PatternGoal: Plot ages against distance and defend a qualified spreading interpretation with two data comparisons.
Before this: Use signed coordinates and unit conversions.
Try together: Together predict the model age at +300 km if the same average rate continued, then label it a prediction rather than a supplied measurement.
Earth and Environmental Science
Suggested grades 9–12 · Unit 1: Earth Evidence and Energy
Connect reflection, outgoing radiation and an initial energy imbalance without treating the model as a weather forecast.
▷ 2 teacher video choices: Model a Changing Energy BudgetGoal: Construct two energy budgets and explain the direction of the initial change under stated assumptions.
Before this: Add and subtract energy quantities.
Try together: Together analyze an initial outgoing-radiation decrease from 70 to 68 while reflection remains 30.
Earth and Environmental Science
Suggested grades 9–12 · Unit 2: Carbon and Resource Decisions
Account for annual carbon transfers across interacting reservoirs.
▷ 2 teacher video choices: Keep Stocks Separate From Carbon FlowsGoal: Calculate net reservoir changes and explain how a transfer can conserve carbon while increasing atmospheric stock.
Before this: Distinguish a total amount from an amount per year.
Try together: Together calculate the atmospheric change if the fossil transfer were 3 instead of 8, with all other modeled flows unchanged.
Earth and Environmental Science
Suggested grades 9–12 · Unit 2: Carbon and Resource Decisions
Evaluate competing metal-use options using economic, environmental and social criteria.
▷ 2 teacher video choices: Compare Resource Strategies TransparentlyGoal: Recommend a feasible strategy with two numerical comparisons and an explicit tradeoff.
Before this: Compare costs, percentages and constraints.
Try together: Together explain why 100 refurbished frames would exceed the supplied inspection capacity even though the purchase price is lower.
Earth and Environmental Science
Suggested grades 9–12 · Unit 3: Environmental Solutions and Projections
Compare mitigation data and improve a design while guarding against single-measure claims.
▷ 2 teacher video choices: Refine an Impact-Reduction ProposalGoal: Evaluate a habitat proposal against three criteria and propose a testable refinement.
Before this: Interpret averages and distinguish before/after evidence from a causal conclusion.
Try together: Together label every predicted quantity in a comparison table and explain why it should not be presented as a measured success.
Earth and Environmental Science
Suggested grades 9–12 · Unit 3: Environmental Solutions and Projections
Interpret model outputs and associated impacts without turning a scenario into an exact prediction.
▷ 2 teacher video choices: Read a Projection as a Conditional ModelGoal: Compare two scenario rates and write a qualified explanation with one associated impact and two uncertainties.
Before this: Calculate a finite change per decade and read a graph.
Try together: Together explain why the shared 0.5°C starting anomaly is not a statement that either place’s absolute temperature is 0.5°C.
World History
Suggested grades 9–10 · Unit 1: Networks and Historical Inquiry
Analyze an explicitly fictional port dossier to separate temporal order from causal explanation.
▷ 2 teacher video choices: Distinguish Sequence from Historical CauseGoal: Build a timeline and evaluate whether two proposed causes are supported by the supplied sources.
Before this: Order events on a timeline; distinguish a source from an inference.
Try together: Together evaluate “Year 4 must have caused Year 5 because it came first.” Identify the missing reasoning.
World History
Suggested grades 9–10 · Unit 1: Networks and Historical Inquiry
Connect a historical overview with a simplified route model without mistaking the model for a real map.
▷ 2 teacher video choices: Model Exchange across Silk Roads NetworksGoal: Integrate a network diagram and secondary-source summary to explain two kinds of exchange and one model limitation.
Before this: Read a simple network diagram and evaluate the scope of a claim.
Try together: Discuss why “One road carried only silk directly from one endpoint to another” conflicts with the overview.
World History
Suggested grades 9–10 · Unit 2: Industry and Imperial Power
Compare two invented accounts situated in the broader history of mechanized production.
▷ 2 teacher video choices: Compare Industrialization through Different RolesGoal: Explain how role shapes emphasis in two accounts and identify evidence needed to test both.
Before this: Compare source perspective and separate an illustrative model from an authentic quotation.
Try together: Together evaluate whether a production increase disproves the worker’s account.
World History
Suggested grades 9–10 · Unit 2: Industry and Imperial Power
Evaluate a narrow economic explanation without erasing coercion or resistance.
▷ 2 teacher video choices: Evaluate an Imperialism ExplanationGoal: Identify a claim’s useful contribution, two omissions and a more complete research question.
Before this: Distinguish a motive, a means and a consequence in an explanation.
Try together: Discuss the difference between explaining a stated motive and endorsing the action it motivated.
World History
Suggested grades 9–10 · Unit 3: Conflict and International Institutions
Use a short World War I timeline without treating order as a complete explanation.
▷ 2 teacher video choices: Separate a Trigger from Conditions for WarGoal: Distinguish trigger, prior condition and later event, then evaluate an overly simple causal account.
Before this: Read a timeline and evaluate multi-causal explanations.
Try together: Together explain why Germany’s August invasion cannot be the cause of the earlier June assassination in this proposed sequence.
World History
Suggested grades 9–10 · Unit 3: Conflict and International Institutions
Summarize the creation of the United Nations while distinguishing aspiration from historical evaluation.
▷ 2 teacher video choices: Read an Institution’s Founding Purpose CriticallyGoal: Write an accurate summary of two founding dates and explain what the founding account can and cannot demonstrate.
Before this: Distinguish an intended purpose from an observed result; summarize a source accurately.
Try together: Discuss whether knowing an organization’s goal is useful even when it does not establish success.
United States History
Suggested grades 10–11 · Unit 1: Founding Arguments and Institutions
Analyze the Declaration’s argumentative sequence without treating it as a complete account of lived equality.
▷ 2 teacher video choices: Read the Declaration as a Historical ArgumentGoal: Connect two specific textual features to the Declaration’s purpose and identify a question requiring other evidence.
Before this: Identify a claim, supporting reasons and a source’s date.
Try together: Together distinguish “The document asserts a principle” from “The principle was equally realized for everyone.” What evidence differs?
United States History
Suggested grades 10–11 · Unit 1: Founding Arguments and Institutions
Compare a founding text’s purposes with the institutions it establishes.
▷ 2 teacher video choices: Distinguish Constitutional Purpose and StructureGoal: Summarize the relation between the Preamble and Article I without treating an aim as proof of its fulfillment.
Before this: Distinguish an aim from a rule establishing an institution.
Try together: Discuss why “The Preamble names justice, so every action under the Constitution was just” does not follow.
United States History
Suggested grades 10–11 · Unit 2: Civil War and Reconstruction
Use a primary document and contextual note to challenge an overbroad summary.
▷ 2 teacher video choices: Read the Scope of the Emancipation ProclamationGoal: Evaluate a claim about the Proclamation by distinguishing its geographic scope, wartime context and later implementation.
Before this: Identify a document’s date, purpose and qualifying language.
Try together: Together explain why correcting the nationwide claim does not make the document historically insignificant.
United States History
Suggested grades 10–11 · Unit 2: Civil War and Reconstruction
Integrate the 14th Amendment’s language with a historical account of contested implementation.
▷ 2 teacher video choices: Connect Reconstruction’s Text and EnforcementGoal: Explain the relationship between a constitutional promise and an implementation struggle using two source contributions.
Before this: Distinguish a rule’s wording from evidence of its implementation.
Try together: Discuss what kind of evidence would be needed to evaluate enforcement in one community during a specified decade.
United States History
Suggested grades 10–11 · Unit 3: Migration and Civil Rights
Assess a one-cause explanation against an official historical overview and a clearly invented individual model.
▷ 2 teacher video choices: Evaluate Explanations of the Great MigrationGoal: Compare explanations for migration, identify their evidentiary limits and write a qualified multi-causal account.
Before this: Distinguish aggregate patterns from individual motives and evaluate competing explanations.
Try together: Together explain why finding one authentic wage-focused letter would not establish a universal motive.
United States History
Suggested grades 10–11 · Unit 3: Migration and Civil Rights
Use the 1964 Civil Rights Act as a source for legal change without assuming all later outcomes.
▷ 2 teacher video choices: Distinguish a Civil Rights Law from Its OutcomesGoal: Form a historical claim linking enactment and implementation and identify the evidence needed to assess it.
Before this: Analyze source purpose and distinguish enactment from enforcement.
Try together: Discuss why “A policy changed” and “Every experience changed immediately” are different historical claims.
Civics and Government
Suggested grades 11–12 · Unit 1: Constitutional Frameworks
Analyze how constitutional structure separates functions while linking institutions.
▷ 2 teacher video choices: Map Powers without Collapsing the BranchesGoal: Explain three institutional roles and one connection using a structured source guide.
Before this: Distinguish an institutional provision from a statement of purpose.
Try together: Together evaluate “Checks mean every branch can do anything another branch can do.” Identify the conceptual error.
Civics and Government
Suggested grades 11–12 · Unit 1: Constitutional Frameworks
Clarify the relationship among granted authority, prohibitions and retained powers.
▷ 2 teacher video choices: Read Delegated and Reserved PowersGoal: Explain the Tenth Amendment’s two conditions and evaluate a simplistic federalism claim.
Before this: Identify federal and state levels of government and distinguish a power from a right.
Try together: Discuss why deleting the phrase about powers prohibited to the states changes the paraphrase’s meaning.
Civics and Government
Suggested grades 11–12 · Unit 2: Rights and Representation
Use constitutional source language to formulate questions rather than leap to a legal verdict.
▷ 2 teacher video choices: Distinguish a Rights Claim from a Complete CaseGoal: Connect two broad rights principles to hypothetical questions and identify missing facts.
Before this: Locate a relevant clause and distinguish a general principle from a case-specific conclusion.
Try together: Together compare “This raises a question about procedure” with “This proves a constitutional violation.” Identify the difference in evidentiary burden.
Civics and Government
Suggested grades 11–12 · Unit 2: Rights and Representation
Examine how different procedures can answer different representation questions.
▷ 2 teacher video choices: Compare Representation in Two Election ModelsGoal: Apply two explicitly hypothetical voting rules and explain one tradeoff using the same ballot data.
Before this: Compare counts and percentages; distinguish a model from current election law.
Try together: Together explain why “A won 42%, so 58%must prefer B” is not supported by the first-preference table.
Civics and Government
Suggested grades 11–12 · Unit 3: Policy and Participation
Defend a fictional budget choice while representing its strongest alternative fairly.
▷ 2 teacher video choices: Weigh a Public Budget TradeoffGoal: Write a policy argument using accurate costs, a criterion, a counterclaim and an uncertainty.
Before this: Calculate totals and compare opportunity costs; state a goal before choosing.
Try together: Together evaluate “50 is greater than 20, therefore the shelter has no public value.” Identify both the measurement and value error.
Civics and Government
Suggested grades 11–12 · Unit 3: Policy and Participation
Write a classroom policy comment that connects a precise request to evidence and authority.
▷ 2 teacher video choices: Draft a Constructive Public CommentGoal: Draft a logically organized public comment with a limited claim, counterclaim and feasible requested action.
Before this: State a policy claim, distinguish evidence from preference and acknowledge an alternative.
Try together: Together revise the transport demand so its requested action matches the council’s stated authority.
Economics and Personal Finance
Suggested grades 11–12 · Unit 1: Scarcity and Market Models
Use a fictional production schedule to distinguish total cost from a forgone alternative.
▷ 2 teacher video choices: Identify Opportunity Cost in a Production ChoiceGoal: Calculate a constant opportunity cost and explain its dependence on the model’s assumptions.
Before this: Calculate totals and compare alternatives under a fixed constraint.
Try together: Together evaluate the proposed combination 5 stands and 4 trays. Calculate its resource use before judging feasibility.
Economics and Personal Finance
Suggested grades 11–12 · Unit 1: Scarcity and Market Models
Compare quantities within a hypothetical market without treating a table as a universal forecast.
▷ 2 teacher video choices: Read a Supply-and-Demand ScheduleGoal: Identify a model equilibrium, explain surplus and shortage at two prices and analyze a stated demand change.
Before this: Read tables and distinguish quantity from price.
Try together: Together discuss why interpolating an exact price would require an additional assumption about the relationship between listed points.
Economics and Personal Finance
Suggested grades 11–12 · Unit 2: Income and Borrowing Models
Use supplied earnings and deductions rather than personal financial information.
▷ 2 teacher video choices: Build a Budget from a Fictional Pay StubGoal: Calculate net income and revise an overallocated fictional budget while explaining the tradeoff.
Before this: Subtract amounts with units and distinguish a plan from an actual record.
Try together: Together evaluate “The budget has 150 left because gross income is 1,200.” Identify the omitted deductions and recalculate.
Economics and Personal Finance
Suggested grades 11–12 · Unit 2: Income and Borrowing Models
Compare two hypothetical cost models without substituting a low advertised rate for total cost.
▷ 2 teacher video choices: Compare Interest and Fees under Stated AssumptionsGoal: Calculate two-year simple and annual-compound totals and explain how a fixed fee changes the comparison.
Before this: Calculate percentages and distinguish an assumption from a quoted real-world offer.
Try together: Together compare A without its fee to B. Explain which part of the original ranking changes and why.
Economics and Personal Finance
Suggested grades 11–12 · Unit 3: Risk and Financial Information
Use original hypothetical outcomes to examine the limits of a risk-reduction claim.
▷ 2 teacher video choices: Test a Diversification Claim with ScenariosGoal: Calculate two mixed outcomes and explain why diversification does not guarantee no loss.
Before this: Calculate percentage changes and weighted totals; distinguish a scenario from a forecast.
Try together: Together evaluate whether the two scenarios prove that a 50/50 split is always optimal.
Economics and Personal Finance
Suggested grades 11–12 · Unit 3: Risk and Financial Information
Analyze a fictional financial promotion as a reading problem, without responding to it.
▷ 2 teacher video choices: Evaluate a Guaranteed-Return PromotionGoal: Evaluate three promotional supports, identify missing evidence and draft a verification checklist.
Before this: Evaluate evidence relevance and distinguish a testimonial from an independently verified result.
Try together: Together evaluate “The photo is genuine, so the return claim is genuine.” Identify the unsupported link.
Visual Arts
Suggested grades 9–12 · Unit 1: Composition and Space
Design and compare two original composition thumbnails using contrast rather than extra decoration.
▷ 2 teacher video choices: Make a Focal Point With ValueGoal: Produce two thumbnails and justify a focal hierarchy with three specific visual observations.
Before this: Recognize light, middle and dark values.
Try together: Together compare the two thumbnails and name one competing contrast. Ask a clarifying question before offering a change.
Visual Arts
Suggested grades 9–12 · Unit 1: Composition and Space
Construct an original gallery interior and explain which lines follow the perspective model.
▷ 2 teacher video choices: Build and Question a One-Point SpaceGoal: Draw a gallery with a horizon, vanishing point and three correctly directed depth edges.
Before this: Identify horizontal, vertical and diagonal lines.
Try together: Together mark depth-direction edges with one symbol and front-facing edges with another. Explain the classification before correcting any line.
Visual Arts
Suggested grades 9–12 · Unit 2: Meaning and Accessible Design
Use an original three-panel sequence to test how visual evidence supports different readings.
▷ 2 teacher video choices: Tell a Story Without Explaining Every DetailGoal: Create a sequence with a repeated motif and justify two possible interpretations using panel details.
Before this: Describe shapes, scale and arrangement.
Try together: Together compare one interpretation based on a visible feature with one based only on an invented event outside the panels.
Visual Arts
Suggested grades 9–12 · Unit 2: Meaning and Accessible Design
Design a paper wayfinding system using labels, shapes and contrast rather than color alone.
▷ 2 teacher video choices: Make a Message Readable in More Than One WayGoal: Create two route signs and evaluate them against three stated communication criteria.
Before this: Recognize a legend and directional arrow.
Try together: Together audit a proposed sign “B □ Workshop ←” against the three criteria and ask what a first-time visitor might still need.
Visual Arts
Suggested grades 9–12 · Unit 3: Critique and Curation
Practice a structured critique of an original still-life plan and revise a claim after considering alternatives.
▷ 2 teacher video choices: Separate Observation From an Art ClaimGoal: Support an interpretation with three visual details and distinguish descriptive, interpretive and evaluative statements.
Before this: Describe line, value, space and composition.
Try together: Together sort “a crack appears,” “the scene suggests fragility” and “the sparse arrangement serves the intended mood” into observation, interpretation and criterion-based evaluation.
Visual Arts
Suggested grades 9–12 · Unit 3: Critique and Curation
Select and sequence original works to support a curatorial argument rather than merely display everything.
▷ 2 teacher video choices: Curate a Small Exhibition With a ClaimGoal: Produce a three-work exhibition plan and a revised statement supported by evidence from each selection.
Before this: Understand composition, critique and revision.
Try together: Together compare two possible orders and explain what each makes viewers notice before and after a work.
Music
Suggested grades 9–12 · Unit 1: Rhythm and Melodic Design
Audit original duration patterns and distinguish meter from surface rhythm.
▷ 2 teacher video choices: Make a Rhythm That Fits and SurprisesGoal: Create a two-measure 4/4 rhythm and justify one accent choice using a beat grid.
Before this: Count four equal pulses and add halves.
Try together: Together repair a draft measure with durations 1, 1, 1/2, 2 while preserving at least three original events.
Music
Suggested grades 9–12 · Unit 1: Rhythm and Melodic Design
Use an original pitch sequence to distinguish contour from interval size and absolute pitch.
▷ 2 teacher video choices: Move a Melody Without Losing Its ShapeGoal: Transpose a short motif by a fixed semitone amount and explain what changes and what remains.
Before this: Read letter-name pitches and signed differences.
Try together: Together compare the original with 0, 1, 4, 3, 1, 0: it has a similar up/up/down/down/down contour but different interval sizes.
Music
Suggested grades 9–12 · Unit 2: Harmony and Form
Analyze a simple tonal model without treating one progression as a universal rule for all music.
▷ 2 teacher video choices: Support a Melody With a Chord PlanGoal: Match chord tones to a supplied melody and justify two harmonic decisions.
Before this: Recognize the C-major pitch set.
Try together: Together find two possible supporting chords for the final C and compare the resulting sense of continuation or return within this model.
Music
Suggested grades 9–12 · Unit 2: Harmony and Form
Create an ABA paper composition using a clear motif transformation.
▷ 2 teacher video choices: Make Contrast That Still BelongsGoal: Plan an ABA structure and demonstrate two transformations while preserving an identifiable motif relationship.
Before this: Identify repetition and contrast in a pattern.
Try together: Together verify that B’s durations sum to four and identify which relationships are preserved versus changed.
Music
Suggested grades 9–12 · Unit 3: Arrangement and Interpretation
Use role and density plans to distinguish musical texture without needing instruments.
▷ 2 teacher video choices: Arrange the Same Material Three WaysGoal: Create two arrangements of one motif and justify role, register and density choices for an audience.
Before this: Distinguish melody from accompaniment.
Try together: Together revise a chart where every layer enters simultaneously and obscures the intended main line; propose one temporal or register change.
Music
Suggested grades 9–12 · Unit 3: Arrangement and Interpretation
Plan expressive choices and a rehearsal comparison without judging performers’ identities or requiring performance.
▷ 2 teacher video choices: Revise an Interpretation With EvidenceGoal: Produce a marked score and an evidence-based revision plan with a clear comparison criterion.
Before this: Read a simple motif, duration pattern and section plan.
Try together: Together replace “B is better because it sounds professional” with a claim tied to a specific phrase boundary or emphasis.
Health and Physical Education
Suggested grades 9–12 · Unit 1: Claims and Inclusive Planning
Separate a marketing claim from the evidence needed to evaluate it.
▷ 2 teacher video choices: Audit a Wellness AdvertisementGoal: Identify three missing evidence details and rewrite a claim without inventing a health outcome.
Before this: Distinguish a testimonial from a comparison study.
Try together: Together explain why “nine people said so” is different from a measured comparison that can help test a causal claim.
Health and Physical Education
Suggested grades 9–12 · Unit 1: Claims and Inclusive Planning
Design a fictional activity session with equivalent roles and choices.
▷ 2 teacher video choices: Plan Participation Without Ranking BodiesGoal: Produce a plan meeting four participation constraints and justify two inclusive adaptations.
Before this: Read a timetable and distinguish a goal from a required movement.
Try together: Together check the schedule against all four constraints and identify whether any role unintentionally requires public personal disclosure.
Health and Physical Education
Suggested grades 9–12 · Unit 2: Feedback and Teamwork
Use supplied observations to make a skill-feedback plan without requiring physical performance.
▷ 2 teacher video choices: Give Feedback About an Action, Not a PersonGoal: Write two specific feedback statements and a fair comparison plan using observable task criteria.
Before this: Distinguish observation from a personal judgment.
Try together: Together rewrite “Try harder; everyone else can do it” as a neutral, specific cue with a choice of paper analysis or optional movement.
Health and Physical Education
Suggested grades 9–12 · Unit 2: Feedback and Teamwork
Practice boundaries, listening and a concrete agreement in a fictional cooperative task.
▷ 2 teacher video choices: Repair a Team ConversationGoal: Write and revise a dialogue that identifies a problem, paraphrases two perspectives and reaches a testable agreement.
Before this: Recognize respectful language and turn-taking.
Try together: Together paraphrase the quiet member’s request without turning it into “does not want to help.” Ask whether the paraphrase is accurate.
Health and Physical Education
Suggested grades 9–12 · Unit 3: Health Literacy and Support
Use a fictional food label to separate package arithmetic from individualized dietary judgments.
▷ 2 teacher video choices: Read a Serving Statement PreciselyGoal: Calculate quantities per container and partial serving and explain two limits of a label-only conclusion.
Before this: Multiply decimals and distinguish a serving from a container.
Try together: Together compare “8 g added sugar per serving” with “20 g added sugar per container” and explain why they are compatible rather than contradictory.
Health and Physical Education
Suggested grades 9–12 · Unit 3: Health Literacy and Support
Design a fictional help-seeking communication plan while protecting privacy and avoiding diagnosis.
▷ 2 teacher video choices: Plan a Respectful Request for SupportGoal: Write a concise support request and distinguish a trusted role, a practical next step and a privacy boundary.
Before this: Recognize that support roles and availability differ among communities.
Try together: Together compare a practical peer response, “Would you like help listing the tasks or choosing an adult to ask?” with an unsupported diagnosis. Explain the difference.
Computer Science and Digital Literacy
Suggested grades 9–12 · Unit 1: Algorithms and decision logic
Follow a written loop precisely and test ordinary, empty and invalid inputs.
▷ 2 teacher video choices: Trace an Algorithm with an ExceptionGoal: Produce a correct trace table and locate a reset bug in a list-processing procedure.
Before this: Basic arithmetic Reading a table
Try together: Trace[−1,2,2,−3,7] and explain each unchanged state.
Computer Science and Digital Literacy
Suggested grades 9–12 · Unit 1: Algorithms and decision logic
Make grouping explicit and test boundary combinations in a fictional access rule.
▷ 2 teacher video choices: Translate a Rule into Boolean LogicGoal: Build a truth table and show how two different groupings change a rule’s result.
Before this: True and false values Reading conditions
Try together: Complete outputs for O=true with(C,P)=(false,false),(false,true),(true,false),(true,true).
Computer Science and Digital Literacy
Suggested grades 9–12 · Unit 2: Data quality and representation
Preserve missingness and document transformations in a fictional data table.
▷ 2 teacher video choices: Data Cleaning with a Decision LogGoal: Apply stated cleaning rules and write a reproducible technical report distinguishing missing from zero.
Before this: Tables Mean calculation
Try together: Apply the same rules to 7,“8 min”,blank,−2 and 0. Write the cleaned values and status labels.
Computer Science and Digital Literacy
Suggested grades 9–12 · Unit 2: Data quality and representation
Follow two explicit representations and check whether compression actually saves space.
▷ 2 teacher video choices: Binary Values and Run-Length EncodingGoal: Encode and decode a short binary sequence and justify its storage comparison under a stated format.
Before this: Place value Counting repeated symbols
Try together: Encode 111100 and decode 0:2;1:1;0:3. Convert binary 1100 to decimal.
Computer Science and Digital Literacy
Suggested grades 9–12 · Unit 3: Digital evidence and privacy decisions
Read a fictional technical report and distinguish a narrow test result from a universal guarantee.
▷ 2 teacher video choices: Evaluate a Classifier’s Accuracy ClaimGoal: Assess claim support and write a justified revision using test-method details.
Before this: Percentages Claims and evidence
Try together: Assess a second fictional claim:“It works equally well on every layout,”supported only by 20 tests using one layout. Name the gap.
Computer Science and Digital Literacy
Suggested grades 9–12 · Unit 3: Digital evidence and privacy decisions
Compare stakeholder needs and reduce unnecessary collection before designing a form.
▷ 2 teacher video choices: Privacy by Minimizing a Fictional Data FormGoal: Produce a minimal-data design and synthesize a discussion’s conflicting claims and unresolved questions.
Before this: Data fields Purpose and evidence Discussion norms
Try together: Discuss whether a public attendance list is necessary to send private schedule updates. Record one viewpoint and an evidence-based response.
Spanish I
Suggested grades 9–12 · Unit 1: Familiar Exchanges and Messages
Ask and answer familiar questions, then request clarification instead of guessing.
▷ 3 teacher video choices: Meet a Partner and Keep the Exchange GoingGoal: Complete an exchange of at least four turns with two questions, two relevant responses and one clarification phrase.
Before this: Read the phrase bank aloud with a teacher or partner.
Try together: With the bank visible, practice one name exchange and one preference exchange. Change the fictional name on the second attempt.
Spanish I
Suggested grades 9–12 · Unit 1: Familiar Exchanges and Messages
Use time, place and purpose clues to interpret an original Spanish notice.
▷ 3 teacher video choices: Read a Club ScheduleGoal: Identify a meeting’s day, time and place and cite the words that establish each detail.
Before this: Recognize basic weekdays and numbers using the supplied bank.
Try together: Together answer what participants should bring and when the meeting ends. Point to the Spanish phrase for each answer.
Spanish I
Suggested grades 9–12 · Unit 2: Describe and Make a Choice
Select understandable sentences that distinguish what exists from where it is.
▷ 3 teacher video choices: Describe a Study Space for a VisitorGoal: Present five short sentences identifying objects and their locations for a visitor.
Before this: Recognize singular and plural nouns and basic numbers.
Try together: Together describe a second simple plan: one book on a chair beside a table. Write an existence sentence and a location sentence.
Spanish I
Suggested grades 9–12 · Unit 2: Describe and Make a Choice
Ask about an option, clarify a price and respond to a partner’s information.
▷ 3 teacher video choices: Make a Choice at a Fictional CaféGoal: Complete a short exchange that selects two items within a fictional budget and confirms a detail.
Before this: Use basic numbers through ten and a familiar question pattern.
Try together: Together choose water and fruit, ask for their total and confirm that five euros fits the budget.
Spanish I
Suggested grades 9–12 · Unit 3: Plans and Short Presentations
Interpret the whole message before deciding where and when to meet.
▷ 3 teacher video choices: Read a Weather-Related Change of PlanGoal: Identify an original plan, its revision and the stated reason using evidence in a short Spanish message.
Before this: Recognize common time and place phrases.
Try together: Together identify the item to bring and the revised location. Quote or point to the two Spanish phrases.
Spanish I
Suggested grades 9–12 · Unit 3: Plans and Short Presentations
Organize a short Spanish message around the information an audience needs.
▷ 3 teacher video choices: Create a Clear Club InvitationGoal: Produce a six-sentence invitation with purpose, day, time, place and one instruction.
Before this: Use familiar day, time, location and preference phrases.
Try together: Together turn “reading club, Tuesday, five, library, bring a book” into two or three supported Spanish sentences using familiar vocabulary.
Spanish II
Suggested grades 10–12 · Unit 1: Negotiate and Interpret Details
Use a hidden availability card to propose, clarify and confirm a workable plan.
▷ 3 teacher video choices: Negotiate a Meeting PlanGoal: Complete a six-turn exchange that resolves a scheduling conflict and confirms agreed details.
Before this: Use present-tense schedule phrases and ask for repetition.
Try together: Together test whether Thursday at four works for both cards and explain the conflict using the phrase bank.
Spanish II
Suggested grades 10–12 · Unit 1: Negotiate and Interpret Details
Separate an actual change from an unstated inference when reading related notices.
▷ 3 teacher video choices: Compare Two Event MessagesGoal: Compare two Spanish notices, identify three changes and explain what remains uncertain.
Before this: Interpret familiar schedule notices and negative statements.
Try together: Together identify the cause of the update and the evidence that admission remains free. Use Spanish words from B.
Spanish II
Suggested grades 10–12 · Unit 2: Past Events and Connected Messages
Track who did what and when using selected past-tense clues in an original account.
▷ 3 teacher video choices: Interpret a Short Past-Event AccountGoal: Sequence four events and distinguish an explicit cause from a reasonable but unstated inference.
Before this: Recognize familiar classroom verbs and the supplied past-tense bank.
Try together: Together make four event cards and place leaving after the reading/writing work. Identify the word that states why they left.
Spanish II
Suggested grades 10–12 · Unit 2: Past Events and Connected Messages
Organize a brief account with selected past-tense forms and a meaningful conclusion.
▷ 3 teacher video choices: Tell a Short Past ExperienceGoal: Present six connected sentences about a fictional event, including sequence, two actions, a reason and a reflection.
Before this: Use the supplied preterite forms and common sequence words.
Try together: Together create an opening and two action sentences from the facts. Decide where a sequence word would help a listener.
Spanish II
Suggested grades 10–12 · Unit 3: Explain, Clarify and Revise
Use questions and repair to resolve an ambiguous route in a fictional campus.
▷ 3 teacher video choices: Clarify Directions and a Practical NeedGoal: Complete an exchange that clarifies two route details and confirms the destination before giving directions.
Before this: Use familiar location phrases and ask for clarification.
Try together: Together identify the direction for the art room and formulate a question distinguishing it from the library.
Spanish II
Suggested grades 10–12 · Unit 3: Explain, Clarify and Revise
Use reasons and audience feedback to improve a connected Spanish message.
▷ 3 teacher video choices: Present and Revise a Club ProposalGoal: Present an eight-sentence proposal with two reasons, one tradeoff and a revision based on a peer question.
Before this: Connect familiar sentences using porque, pero and sequence phrases.
Try together: Together construct two reasons for the poster workshop, then add a sentence acknowledging its materials need.
Earlier high school starter lessons with teacher video choices →